Pith Number

pith:U7JF5TEU

pith:2015:U7JF5TEU72DJ75DPMKM3WJA3DD

not attested not anchored not stored refs pending

Path Integrals on Euclidean Space Forms

Guillermo Capobianco, Walter Reartes

arxiv:1507.02201 v2 · 2015-07-08 · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{U7JF5TEU72DJ75DPMKM3WJA3DD}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T01:33:58.207934Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a7d25ecc94fe869ff46f6299bb241b18ced4ab70a8843de58175db947a8bcc5a

Aliases

arxiv: 1507.02201 · arxiv_version: 1507.02201v2 · doi: 10.48550/arxiv.1507.02201 · pith_short_12: U7JF5TEU72DJ · pith_short_16: U7JF5TEU72DJ75DP · pith_short_8: U7JF5TEU

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/U7JF5TEU72DJ75DPMKM3WJA3DD \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: a7d25ecc94fe869ff46f6299bb241b18ced4ab70a8843de58175db947a8bcc5a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0ae0be5e949136faa7e19e7435e777749d7128da8887850b23ebd5e30fcde87e",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-07-08T15:49:02Z",
    "title_canon_sha256": "ccadf8c8052c04f8babb065c2c76c7e9311b84abd12b298b064cd67fbc77e6ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.02201",
    "kind": "arxiv",
    "version": 2
  }
}